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Saxon Calculus: Basics of Functions Chapter Exam

Exam Instructions:

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

Page 1

Question 1 1.

Use f(x) and g(x) to find g(x) - f(x).

Here, f(x) = -x + 5 and g(x) = 3x + 2.

Question 2 2. If f(x) = 5 - 2x and g(x) = -4x + 2, find g(f(x)).

Question 3 3.

Use f(x) and g(x) to find f(x) * g(x).

f(x) = -x + 5 and g(x) = 3x + 2

Question 4 4. The collection of all the outputs of a function is known as which one of the following?

Question 5 5. On the graph of a(n) _____ function, the left half of the graph exactly reflects the line or shape on the right half of the graph, except it is upside-down.

Page 2

Question 6 6. Suppose you go to the grocery store and see that apples are on sale for $0.50 cents each, and you see there are 5 apples left that are available to buy. The amount of money you spend on apples is determined by how many apples you buy, so the amount of money spent on apples is a function of how many apples you buy, where number of apples bought is your input, and money spent on apples is your output. The given function table is used to represent this function. Find the rule, in equation form, for this function table, and fill in the missing entry.

Question 7 7. Which of the following is a point on the function y = 3x - 2?

Question 8 8. What notation do you use to show that you have an inverse function?

Question 9 9. What is the domain of the function below?

Question 10 10. Use the information given to find h(x) / l(x): h(x) = 6x2 and l(x) = 2x5

Page 3

Question 11 11. If f(x) = -2x -5 and g(x) = x^2 + 1, find f(g(x)).

Question 12 12. Which of the following makes an equation a relation rather than a function?

Question 13 13. Which one of these functions has a domain of all real numbers?

Question 14 14. Recalling function notation, we want x to be w. Therefore, if f(x) = (3x + 5) / 2, find f(w).

Question 15 15.

The following function is _____.

y=2x^3 - 6x

Page 4

Question 16 16. Which function would NOT pass the horizontal line test?

Question 17 17. Which of the following function tables has rule y = 2x + 5 where x is an integer that is greater than or equal to -3 and less than or equal to 2?

Question 18 18. The graph of y - x + 10 = - (8 + x) is a _____

Question 19 19. On the graph of an even function, _____.

Question 20 20.

What is the composite of the function below and its inverse?

f(x) = (x-2)/3

f^(-1)(x) = 3x + 2

Note: f^(-1)(x) indicates the inverse of the function f.

Page 5

Question 21 21. The revenue of a company is represented by R(x) and their costs are represented by C(x). What is the profit function R(x) - C(x)?

Question 22 22.

Find the inverse function of:

y = 1/x

Question 23 23. If we represent our input by x and our output by y, then describe the rule that goes with this function table.

Question 24 24. Which set of ordered pairs is NOT a function?

Question 25 25. Given the function below, evaluate g(7).

Page 6

Question 26 26. What is the range of the function: g(x) = |x| + 1

Question 27 27. Find the FALSE statement.

Question 28 28. Which of the following is the inverse function of f(x) = 2x - 3?

Question 29 29. The plot of x - y = 10 is the same as the plot of:

Question 30 30. If f(x) = 5 + 3x and g(x) = 5 - 9x, find f(g(2)).

Saxon Calculus: Basics of Functions Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

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